Berry phase of the Tavis-Cummings model with three modes of oscillation

E. Choreño; D. Ojeda-Guillén; R. Valencia; V. D. Granados

doi:10.1063/1.5123624

Berry phase of the Tavis-Cummings model with three modes of oscillation

E. Choreño, D. Ojeda-Guillén, R. Valencia, V. D. Granados

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In this paper, we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the SU(1, 1) and SU(2) groups. This method is based on the similarity transformations of the displacement operator performed to the generators of each group, and let us diagonalize these Hamiltonians. Then, we introduce a trilinear form of the Tavis-Cummings model to compute the SU(1, 1) and SU(2) Berry phases of this model.

Idioma original	Inglés
Número de artículo	111704
Publicación	Journal of Mathematical Physics
Volumen	60
N.º	11
DOI	https://doi.org/10.1063/1.5123624
Estado	Publicada - 1 nov. 2019

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abstract = "In this paper, we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the SU(1, 1) and SU(2) groups. This method is based on the similarity transformations of the displacement operator performed to the generators of each group, and let us diagonalize these Hamiltonians. Then, we introduce a trilinear form of the Tavis-Cummings model to compute the SU(1, 1) and SU(2) Berry phases of this model.",

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PY - 2019/11/1

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N2 - In this paper, we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the SU(1, 1) and SU(2) groups. This method is based on the similarity transformations of the displacement operator performed to the generators of each group, and let us diagonalize these Hamiltonians. Then, we introduce a trilinear form of the Tavis-Cummings model to compute the SU(1, 1) and SU(2) Berry phases of this model.

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Berry phase of the Tavis-Cummings model with three modes of oscillation

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